Pass, Brendan W.; Vargas-Jiménez, Adolfo Multi-marginal optimal transportation problem for cyclic costs. (English) Zbl 1470.49076 SIAM J. Math. Anal. 53, No. 4, 4386-4400 (2021). MSC: 49Q22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Friesecke, Gero A simple counterexample to the Monge ansatz in multimarginal optimal transport, convex geometry of the set of Kantorovich plans, and the Frenkel-Kontorova model. (English) Zbl 1429.49048 SIAM J. Math. Anal. 51, No. 6, 4332-4355 (2019). MSC: 49Q20 49J40 49K30 52B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gerolin, Augusto; Kausamo, Anna; Rajala, Tapio Nonexistence of optimal transport maps for the multimarginal repulsive harmonic cost. (English) Zbl 1431.49054 SIAM J. Math. Anal. 51, No. 3, 2359-2371 (2019). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 49Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Friesecke, Gero; Vögler, Daniela Breaking the curse of dimension in multi-marginal Kantorovich optimal transport on finite state spaces. (English) Zbl 1395.49009 SIAM J. Math. Anal. 50, No. 4, 3996-4019 (2018). MSC: 49J40 49K30 49S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv